Q: What is the total or count of factors of the number 50,774,248?

 A: 64

How do I find the total factors of the number 50,774,248?

Step 1

Find the prime factorization of the number 50,774,248.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
50,774,248
Factor Arrows
225,387,124
Factor Arrows
212,693,562
Factor Arrows
26,346,781
Factor Arrows
7906,683
Factor Arrows
2339,421
Factor Arrows
79499

The prime factorization in exponential form is: 23 x 71 x 231 x 791 x 4991

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

50,774,248 = 23 x 71 x 231 x 791 x 4991
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
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d(50774248) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(50774248) = (4)(2)(2)(2)(2)
Down Arrow
d(50774248) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 50,774,248 and how to find them.

Try the factor calculator.

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